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Finding the Fourth Proportional to 2,460.41, 3,689.48 and 900.01

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Solution

The fourth proportional to 2,460.41, 3,689.48 and 900.01 is: 1,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.41 : 3,689.48 = 900.01 : x
  2. Step 2: Convert to fraction form
    2,460.41/3,689.48 = 900.01/x
  3. Step 3: Cross multiply
    2,460.41x = 3,689.48 × 900.01
  4. Step 4: Simplify right side
    2,460.41x = 3,320,575.76
  5. Step 5: Solve for x
    x = 3,320,575.76/2,460.41
  6. Step 6: Final answer
    x = 1,349.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.